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Finding the Fourth Proportional to 20,043.38, 27,645 and 12,962.36

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Solution

The fourth proportional to 20,043.38, 27,645 and 12,962.36 is: 17,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.38 : 27,645 = 12,962.36 : x
  2. Step 2: Convert to fraction form
    20,043.38/27,645 = 12,962.36/x
  3. Step 3: Cross multiply
    20,043.38x = 27,645 × 12,962.36
  4. Step 4: Simplify right side
    20,043.38x = 358,344,442.20
  5. Step 5: Solve for x
    x = 358,344,442.20/20,043.38
  6. Step 6: Final answer
    x = 17,878.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.